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Finding the Fourth Proportional to 4,811.51, 7,218.02 and 2,038.20

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Solution

The fourth proportional to 4,811.51, 7,218.02 and 2,038.20 is: 3,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.51 : 7,218.02 = 2,038.20 : x
  2. Step 2: Convert to fraction form
    4,811.51/7,218.02 = 2,038.20/x
  3. Step 3: Cross multiply
    4,811.51x = 7,218.02 × 2,038.20
  4. Step 4: Simplify right side
    4,811.51x = 14,711,768.36
  5. Step 5: Solve for x
    x = 14,711,768.36/4,811.51
  6. Step 6: Final answer
    x = 3,057.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.